Fusion of the $q$-Vertex Operators and its Application to Solvable Vertex Models

Details Fusion of the $q$-Vertex Operators and its Application to Solvable Vertex Models Fusion of the $q$-Vertex Operators and its Application to Solvable Vertex Models

1994-09-26

arxiv.org/abs/hep-th/9409153v1

Commun.Math.Phys. 177 (1996) 27

Physics

High Energy Physics

High Energy Physics - Theory

35 pages

Scientific paper

10.1007/BF02102429

We diagonalize the transfer matrix of the inhomogeneous vertex models of the 6-vertex type in the anti-ferroelectric regime intoducing new types of q-vertex operators. The special cases of those models were used to diagonalize the s-d exchange model\cite{W,A,FW1}. New vertex operators are constructed from the level one vertex operators by the fusion procedure and have the description by bosons. In order to clarify the particle structure we estabish new isomorphisms of crystals. The results are very simple and figure out representation theoretically the ground state degenerations.

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